Search Results (79)

View
Selected filters:
  • Differential Equations
Advanced Calculus
Conditions of Use:
Remix and Share
Rating

Some of the topics that this book addresses are: Vector spaces; finite-dimensional vector spaces; differential calculus; compactness and completeness; scalar product space; differential equations; multilenear functionals; integration; differentiable manifolds; integral calculus on manifolds; exterior calculus.

Note: this is a 57 MB PDF Document.

Subject:
Calculus
Material Type:
Textbook
Provider:
Harvard University
Provider Set:
Individual Authors
Author:
Sternberg Shlomo and Lynn Loomis
Date Added:
02/16/2011
Calculus II (MATH 152)
Conditions of Use:
No Strings Attached
Rating

This contemporary calculus course is the second in a three-part sequence. In this course students continue to explore the concepts, applications, and techniques of Calculus - the mathematics of change. Calculus has wide-spread application in science, economics and engineering, and is a foundation college course for further work in these areas. This is a required class for most science and mathematics majors.Login: guest_oclPassword: ocl

Subject:
Calculus
Material Type:
Full Course
Homework/Assignment
Lecture Notes
Lesson Plan
Syllabus
Provider:
Washington State Board for Community & Technical Colleges
Provider Set:
Open Course Library
Date Added:
10/31/2011
Calculus Revisited: Complex Variables, Differential Equations, and Linear Algebra, Fall 2011
Conditions of Use:
Remix and Share
Rating

Calculus Revisited is a series of videos and related resources that covers the materials normally found in freshman- and sophomore-level introductory mathematics courses. Complex Variables, Differential Equations, and Linear Algebra is the third course in the series, consisting of 20 Videos, 3 Study Guides, and a set of Supplementary Notes. Students should have mastered the first two courses in the series (Single Variable Calculus and Multivariable Calculus) before taking this course. The series was first released in 1972, but equally valuable today for students who are learning these topics for the first time.

Subject:
Algebra
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Herbert Gross
Date Added:
01/01/2011
Calculus Volume 2
Conditions of Use:
No Strings Attached
Rating

Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates.

Subject:
Calculus
Material Type:
Textbook
Provider:
Rice University
Provider Set:
OpenStax College
Author:
Alfred K. Mulzet
Catherine Abbott
David McCune
David Smith
David Torain
Edwin “Jed” Herman
Elaine A. Terry
Erica M. Rutter
Gilbert Strang
Joseph Lakey
Joyati Debnath
Julie Levandosky
Kirsten R. Messer
Michelle Merriweather
Nicoleta Virginia Bila
Sheri J. Boyd
Valeree Falduto
William Radulovich
Date Added:
02/01/2016
Calculus for the Life Sciences: A Modeling Approach Volume 1
Conditions of Use:
Remix and Share
Rating

Our writing is based on three premises. First, life sciences students are motivated by and respond well to actual data related to real life sciences problems. Second, the ultimate goal of calculus in the life sciences primarily involves modeling living systems with difference and differential equations. Understanding the concepts of derivative and integral are crucial, but the ability to compute a large array of derivatives and integrals is of secondary importance. Third, the depth of calculus for life sciences students should be comparable to that of the traditional physics and engineering calculus course; else life sciences students will be short changed and their faculty will advise them to take the 'best' (engineering) course.

Subject:
Calculus
Material Type:
Textbook
Provider:
University of Minnesota
Provider Set:
University of Minnesota Libraries Publishing
Author:
James L. Cornette
Ralph A. Ackerman
Date Added:
01/01/2012
Calculus without Limits (Lecture Notes for Applied Calculus)
Conditions of Use:
Read the Fine Print
Rating

This book introduces differentiability as a local property without using limits. The philosophy behind this idea is that limits are the a big stumbling block for most students who see calculus for the first time, and they take up a substantial part of the first semester.

Subject:
Calculus
Material Type:
Textbook
Provider:
University of Hawaii
Author:
Karl Heinz Dovermann
Date Added:
02/16/2011
Differential Analysis II: Partial Differential Equations and Fourier Analysis, Spring 2016
Conditions of Use:
Remix and Share
Rating

In this course, we study elliptic Partial Differential Equations (PDEs) with variable coefficients building up to the minimal surface equation. Then we study Fourier and harmonic analysis, emphasizing applications of Fourier analysis. We will see some applications in combinatorics / number theory, like the Gauss circle problem, but mostly focus on applications in PDE, like the Calderon-Zygmund inequality for the Laplacian, and the Strichartz inequality for the Schrodinger equation. In the last part of the course, we study solutions to the linear and the non-linear Schrodinger equation. All through the course, we work on the craft of proving estimates.

Subject:
Mathematics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Lawrence Guth
Date Added:
01/01/2016
Differential Equations
Conditions of Use:
No Strings Attached
Rating

This module consists of four units, namely Introduction to Ordinary differential equations, higher order ordinary differential equations, power series solutions and special functions and partial differential equations and their applications. In unit one both first and second order equations are discussed and their solutions obtained with a variety of techniques. in unit two both homogeneous and non-homogeneous higher order equations are considered and a variety of solution techniques are discussed. Some of these techniques include the variation of parameters, the method of undetermined coefficients and the inverse operators. In unit three series solutions of differential equations are discussed. Also discussed special functions of mathematical physics. In unit four we look at partial differential equations and their solution by separation of variables.Other topics discussed are Laplace transforms, Fourier series, Fourier transforms and their applications.

Subject:
Mathematics
Material Type:
Module
Provider:
African Virtual University
Provider Set:
OER@AVU
Author:
George L. Ekol
Date Added:
03/15/2018
Differential Equations: 2nd Order Linear Homogeneous Differential Equations 1
Conditions of Use:
Remix and Share
Rating

This 10-minute video lesson provides an introduction to 2nd order, linear, homogeneous differential equations with constant coefficients. [Differential Equations playlist: Lesson 13 of 45]

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Differential Equations: 2nd Order Linear Homogeneous Differential Equations 2
Conditions of Use:
Remix and Share
Rating

This 8-minute video lesson continues the discussion from the previous video and shows how to find the general solution. [Differential Equations playlist: Lesson 14 of 45]

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Differential Equations: 2nd Order Linear Homogeneous Differential Equations 3
Conditions of Use:
Remix and Share
Rating

This 6-minute video lesson continues the discussion from the previous videos and introduces some initial conditions to solve for the particular solution. [Differential Equations playlist: Lesson 15 of 45]

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Differential Equations: 2nd Order Linear Homogeneous Differential Equations 4
Conditions of Use:
Remix and Share
Rating

This 9-minute video lesson continues the discussion from the previous videos and provides another example using initial conditions. [Differential Equations playlist: Lesson 16 of 45]

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Differential Equations: Complex Roots of the Characteristic Equations 2
Conditions of Use:
Remix and Share
Rating

This 10-minute video lesson continues the discussion of what happens when the characteristic equation has complex roots. [Differential Equations playlist: Lesson 18 of 45]

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Differential Equations: Complex Roots of the Characteristic Equations 3
Conditions of Use:
Remix and Share
Rating

This 10-minute video lesson concludes the series on complex roots of characteristic equations and demonstrates an example with initial conditions. [Differential Equations playlist: Lesson 19 of 45]

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Khan, Salman
Date Added:
02/20/2011
Differential Equations: Exact Equations Intuition 1 (proofy)
Conditions of Use:
Remix and Share
Rating

This 10-minute video lesson provides intuiton on exact equations including the chain rule using partial derivatives (not a proof; more intuition). [Differential Equations playlist: Lesson 4 of 45]

Subject:
Algebra
Material Type:
Lecture
Provider:
Khan Academy
Provider Set:
Khan Academy
Author:
Salman Khan
Date Added:
02/20/2011